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JEFFREY FLUID MODEL FOR BLOOD FLOW THROUGH A TAPERED ARTERY WITH A STENOSIS

NOREEN SHER AKBAR

Department of Mathematics, Quaid-i-Azam University, 45320, Islamabad 44000, Pakistan

Corresponding author.

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S. NADEEM

Department of Mathematics, Quaid-i-Azam University, 45320, Islamabad 44000, Pakistan

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, and

MOHAMED ALI

Mechanical Engineering Department, King Saud University, Saudi Arabia

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https://doi.org/10.1142/S0219519411003879Cited by:60 (Source: Crossref)

Abstract

In this article, we have studied a non-Newtonian fluid model for blood flow through a tapered artery with a stenosis by assuming blood as Jeffrey fluid. The main purpose of our study was to follow the idea of Mekheimer and El Kot (2008), for Jeffrey fluid model, mean to study Jeffrey fluid model for blood flow through a tapered artery with a stenosis, Jeffrey fluid model is a non-Newtonian fluid model in which we consider convective derivative instead of time derivative. It is capable of describing the phenomena of relaxation and retardation time. The Jeffrey fluid has two parameters, the relaxation time λ₁ and retardation time . Perturbation method is used to solve the resulting equations. The effects of non-Newtonian nature of blood on velocity profile, wall shear stress, shearing stress at the stenosis throat, and impedance of the artery are discussed. The results for Newtonian fluid are obtained as special case from this model.

Keywords:

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